Answer:
The difference between the heights of the poles is 10m
Step-by-step explanation:
The distance between poles is 24 m
The length of the cable is 26m
You first use the Pythagoras' theorem to calculate the vertical distance between the end of one pole and the end of the other one.
The difference between the heights of the poles is 10m
The higher pole has height of 50m
Then, the lower pole has a height of 50m - 10m = 40m
Answer:
m = 5/6
Step-by-step explanation:
Cross multiply.
1/5 × m = 2/3 × 1/4
1/5 × m = 2/12
1/5 × m = 1/6
m = 5/6
Answer:
12ft
Step-by-step explanation:
Behold, my crudely drawn diagram!!!
Edit: The red side is the hypotenuse/escalator length, the green side is adjacent to the angle/the escalator height, and the blue bits refer to the angle. Also it's supposed to be a right triangle but I forgot the little box we typically put in the corner to indicate the 90° angle.
Using some geometric knowledge of right triangles, we know that the Cosine of an angle is equal to the length of the adjacent side divided by the lenght of the hypotenuse. So:
Cos(39.81°) = h ÷ 15.5ft
*Here I've called the top of the escalator's height "h"*
By solving for h and plugging it into a calculator I get:
h = Cos(39.81°)•(15.5) = 11.906...
But they want it rounded to the nearest foot, so your answer is 12ft.
C) $694.25
Why?
Because you want to times the interest by 2 (1 is for one year but u want to find the amount after two years) then you multiply the amount given to each bank separately so:
400*0.07 (7% which is 7/100) = 28
250*0.065 (6.5% which is 65/1000) = 16.25
Then u add the interests together:
28+16.25 = 44.25
Finally you add that to the amount you started with:
$650+$44.25= $694.25